Below is data from a study examining the effects of two different psychotherapy treatments on self-esteem. Specifically, two different treatment types (treat1 and treat2) were compared to a waiting list control group in terms of increasing self-esteem; the main question concerned whether each separate therapy type was different from no treatment at all. The values shown below are the self-esteem scores for the participants in each group (higher values indicate greater self-esteem). a. What inferential test did you use? b. Using an alpha level of .05, determine whether there were any mean differences between the groups of interest?
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Below is data from a study examining the effects of two different psychotherapy treatments on self-esteem. Specifically, two different treatment types (treat1 and treat2) were compared to a waiting list control group in terms of increasing self-esteem; the main question concerned whether each separate therapy type was different from no treatment at all. The values shown below are the self-esteem scores for the participants in each group (higher values indicate greater self-esteem).
a. What inferential test did you use?
b. Using an alpha level of .05, determine whether there were any
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